Let A be a ring such that A=A2, but which does not necessarily have an identity element. In studying properties of the ring A through prioperties of its modules, it is pointless to consider the category A-MOD of all the left A-modules: for instance, every abelian group ..
AbstractLet R be a ring with 1, Rop the opposite ring, and R-Mod the category of left unitary R-modu...
We gather some classical results and examples that show strictinclusion between the families of unit...
Bican, Jambor, Kepka and Nemec defined a product on the lattice of submodules of a module, making an...
AbstractIn this paper, the classical theory of Morita equivalence is extended to idempotent rings wh...
AbstractThe representation theory of a ring Δ has been studied by examining the category of contrava...
AbstractIn this paper we consider the subcategories CMod-R (M ∈ MOD-R s.t. M ∼- HomR(R, M)) and DMod...
AbstractLet R be a nonunital ring. A left R-module M is said to be firm if R⊗RM→M given by r⊗m↦rm is...
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy prope...
AbstractLet R be a prime ring and e∈R be an idempotent. We show that eRR is nonsingular, CS and 1<u-...
summary:We investigate the category $\text{mod}\Lambda $ of finite length modules over the ring $\La...
AbstractClaasen and Goldbach introduced a class of finite rings with a field-like property. In this ...
Let R be a ring with identity, Mod-R the category of all right R-modules, P 08Mod-R, A=End(PR), and ...
In a recent paper, Aydoǧdu and López-Permouth have defined a module M to be N-subinjective if every ...
AbstractThis paper studies rings R graded by a G-set X such that the category of X-graded left R-mod...
AbstractThis paper characterizes products of idempotents in (von Neumann) regular rings which are un...
AbstractLet R be a ring with 1, Rop the opposite ring, and R-Mod the category of left unitary R-modu...
We gather some classical results and examples that show strictinclusion between the families of unit...
Bican, Jambor, Kepka and Nemec defined a product on the lattice of submodules of a module, making an...
AbstractIn this paper, the classical theory of Morita equivalence is extended to idempotent rings wh...
AbstractThe representation theory of a ring Δ has been studied by examining the category of contrava...
AbstractIn this paper we consider the subcategories CMod-R (M ∈ MOD-R s.t. M ∼- HomR(R, M)) and DMod...
AbstractLet R be a nonunital ring. A left R-module M is said to be firm if R⊗RM→M given by r⊗m↦rm is...
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy prope...
AbstractLet R be a prime ring and e∈R be an idempotent. We show that eRR is nonsingular, CS and 1<u-...
summary:We investigate the category $\text{mod}\Lambda $ of finite length modules over the ring $\La...
AbstractClaasen and Goldbach introduced a class of finite rings with a field-like property. In this ...
Let R be a ring with identity, Mod-R the category of all right R-modules, P 08Mod-R, A=End(PR), and ...
In a recent paper, Aydoǧdu and López-Permouth have defined a module M to be N-subinjective if every ...
AbstractThis paper studies rings R graded by a G-set X such that the category of X-graded left R-mod...
AbstractThis paper characterizes products of idempotents in (von Neumann) regular rings which are un...
AbstractLet R be a ring with 1, Rop the opposite ring, and R-Mod the category of left unitary R-modu...
We gather some classical results and examples that show strictinclusion between the families of unit...
Bican, Jambor, Kepka and Nemec defined a product on the lattice of submodules of a module, making an...
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